عنوان	A discrete collocation scheme to solve Fredholm integral equations of the second kind in high dimensions using radial kernels
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Linear integral equation·Multidimensional Fredholm integral equation· Radial kernels·Discrete collocation method·General domains·Convergence analysis
چکیده	In this paper, we propose a kernel-based method to solve multidimensional linear Fredholm integralequationsofthesecondkindovergeneraldomains.Thediscretecollocationmethod in combination with radial kernels interpolation method is utilized to convert these types of equations to a linear system of equations that can be solved numerically by a suitable numerical method. Integrals appeared in the scheme are approximately computed by the Gauss–Legendre and Monte Carlo quadrature rules. The proposed scheme does not require a structured grid, and thus can be used to solve complex geometry problems based on a set of scattered points that can be arbitrarily chosen. Thus, for the multidimensional linear Fredholmintegralequation,anirregularregioncanbeconsidered.Theconvergenceanalysis of the approach is studied for the presented method. The accuracy and efficiency of the new technique are illustrated by several numerical examples.
پژوهشگران	حمید اسمعیلی (نفر اول)، فرشید ملامیرزایی (نفر دوم)، داود معظمی (نفر سوم)